The area of the triangle shown is no more than 10 square inches. a. write an inequality that can be used to find x. b. solve the inequality from part a. c. what is the maximum height of the triangle?

Part a)

Part b) The solution of the inequality Part a) is  (see the explanation)

Part c) The maximum height of triangle is 5 inches

Step-by-step explanation:

see the attached figure to better understand the problem

Part a) write an inequality that can be used to find x

we know that

The area of triangle is equal to

we have

so

substitute

----> inequality that can can be used to find x

Part b) solve the inequality from part a

we have

solve for x

Simplify left side

Distribute left side

Adds 6 both sides

Divide by 4 both sides

----> solution inequality Part a)

Remember that the height cannot be negative

therefore

The value of x must be greater than 1.5 in and less than or equal to 4 in

Part c) what is the maximum height of the triangle?

we know that

The maximum height of triangle will be for the maximum value of x

The maximum value of x is 4 in

substitute for x=4 in

therefore

The maximum height of triangle is 5 inches

853.3

step-by-step explanation:

replication and blocking

step-by-step explanation: